A single-phase quasi-impedance source inverter (qZSI) has become an attractive solution for residential PV applications. However, due to the nature of this inverter topology, double-frequency (2 omega) power ripple issue should be considered since this issue has a negative impact on the system performance. This paper presents model predictive control (MPC) based current ripple damping control technique for single-phase qZSI. The main aim of the proposed control technique is suppressing the 2 omega ripple in the input current by means of a simple and effective control technique without using any auxiliary circuit. The performances of the proposed control technique are investigated with MATLAB/Simulink and further validated experimentally.